1. Decisions Action based on condition

2. Examples Simple condition: –If total sales exceeds $300 then applies 5% discount; otherwise, no discount. More than one condition: Taxable Income < =3000 no tax 3000 < taxable income <= 10000 5% tax 10000 < taxable income <= 5000010% tax Taxable income > 5000015% tax Complex condition: –If an applicant’s GPA > 3.0 and SAT > 1200: admitted

3. Comparison Less than: < Less than or equal: <= Greater than: > Greater than or equal: >= Equal: = Not equal: <> –At least: >= –At most: <= –No more than: <= –No less than: >= A comparison returns True/False. –Example:

4. IF Function =IF(condition, ValueIfTrue,ValueIfFalse) Example: –Tuition: If total units <= 12, then tuition = 1200 »Otherwise, tuition = 1200 + 200 per additional unit

5. Example: Compute weekly wage. Overtime hours are paid 50% more than the regular pay.

6. Example: Tax rate is based on married status: –Single: 15% –Married: 10%

7. Example: A restaurant charges service fee based on this rule: 15% of the check amount with a minimum of $2.

8. Practices 1. How to determine an integer entered in a cell is an even number or an odd number? 2. The average of two exams is calculated by this rule: 60% * higher score + 40% * lower score. 3. An Internet service provider offers a service plan that charges customer based on this rule: The first 20 hours: $10 Each additional hour: $1.5 4. Automate the calculation of AmountOfDepDuringYr of the double declining depreciation table of assignment 2 for any value of life.

9. Calculating Conditional Counts and Sums COUNTIF(range, criteria) –Range of cells –Criteria: expression that define which cells are to be counted. SUMIF(range, criteria,[sum_range]) –Sum_range: The cells you want to sum. If omit, Excel will sum the values in the range argument.

10. Example 1.How many employees earn more than 5000? COUNTIF(B2:b4,”>5000”) 2. Compute the total salary of employees earning more than 5000. SUMIF(B2:b4,”>5000”) 3. How many employees’ name begin with “P”? COUNTIF(A2:A4,”P*”)

11. Complex Condition Examples: –A theater charges admission fee based on customer’s age: 12 <= Age <= 65:Fee = $5 Otherwise: Fee = $3 –X University admission rules: If GPA > 3.5 or SAT > 1500: Admitted –Y University admission rules: If GPA > 3.0 and SAT > 1200: Admitted

12. Logical Operators: AND, OR, NOT AND Cond1Cond2Cond1 AND Cond2T TF FTF OR Cond1Cond2Cond1 OR Cond2T TF FTF NOT CondNOT Cond T F

13. Examples Write a complex condition for: 12 <= Age <= 65 Use a complex condition to describe age not between 12 and 65. X <= 15 is equivalent to: X<15 AND X =15? (T/F) This complex condition is always false: –X 10 This complex condition is always true: –X >= 5 OR X <= 10

14. AND Function/OR Function =AND (cond1, cond2, …, cond n) –Up to 30 conditions –True if all conditions are true –False if any condition is false =OR (cond1, cond2, …, cond n) –True if any condition is true –False if all conditions are false

16. The rules to compute employee bonus are: –If JobCode = 1 and Salary < 50000, then bonus = 30% * salary –Otherwise, bonus = 20% * salary Note: Change the rules to OR

17. Nested IF and Complex Condition

18. Nested IF Example: –Rules to determine bonus: JobCode = 1, Bonus=500 JobCode = 2, Bonus = 700 JobCode = 3, Bonus = 1000 –In C2: If(B2=1, 500, If(B2=2, 700, 1000))

19. JobCode= 1 Or <> =1 JobCode=2 Or <> 2 1 2 3

20. Example Electric Company charges customers based on KiloWatt-Hour used. The rules are: –First 100 KH,20 cents per KH –Each of the next 200 KH ( up to 300 KH), 15 cents per KH –All KH over 300, 10 cents per KH

21. What if we have more than 3 conditions Example: Bonus –JobCode = 1, Bonus = 500 –JobCode = 2, Bonus = 600 –JobCode = 3, Bonus = 700 –JobCode = 4, Bonus = 800 –JobCode = 5, Bonus = 1000 –… Other functions: –Table lookup

22. Example State University calculates students tuition based on the following rules: –State residents: Total units taken <=12, tuition = 1200 Total units taken > 12, tuition = 1200 + 200 per additional unit. –Non residents: Total units taken <= 9, tuition = 3000 Total units taken > 9, tuition = 3000 + 500 per additional unit.

23. Resident or Not Units <= 12 or Not Units <= 9 or Not

24. Complex Condition University admission rules: Applicants will be admitted if meet one of the following rules: –1. Income >= 100,000 –2. GPA > 2.5 AND SAT > 900 An applicant’s Income is 150,000, GPA is 2.9 and SAT is 800. Admitted? –Income >= 100,000 OR GPA > 2.5 AND SAT >900 How to evaluate this complex condition?

25. Scholarship: Business students with GPA at least 3.2 and major in Accounting or CIS qualified to apply: –1. GPA >= 3.2 –2. Major in Accounting OR CIS Is a CIS student with GPA = 2.0 qualified? –GPA >= 3.2 AND Major = “Acct” OR Major = “CIS” Is this complex condition correct?

26. NOT Set 1: Young: Age < 30 Set 2: Rich: Income >= 100,000 YoungRich

27. Condition with Not University admission rules: Applicants will be admitted if meet all the rules: –1. SAT > 900 OR Income >= 50,000 –2. Not GPA < 2.5 Condition: –SAT > 900 OR Income >= 50,000 AND Not GPA < 2.5 –Correct?

28. Order of Evaluation 1. () 2. Not 3. AND 4. OR

29. Examples SAT = 800, Income 60,000, GPA 3.0, admitted? –(SAT > 900 OR Income >= 50,000) AND Not GPA < 2.5 A=2, B=3 –(A=3 OR NOT (B < A)) AND B=A+1

30. Rules to calculate employee bonus are: –If JobCode = 1 AND Salary < 5000 OR Sex = “F” Bonus = 10% * Salary –Otherwise: Bonus = 8% * Salary

31. Practices 1. Change the rules for bonus to: –If Sex = “F” AND (JobCode = 1 OR JobCode = 2) then bonus = 10% * Salary –Otherwise, bonus = 8% * Salary 2. Change the rules to: –If JobCode = 1 AND Salary < 5000 OR Sex = “F” Bonus = 10% * Salary –Otherwise: Bonus = 8% * Salary Use a complex condition to describe numbers: 2050100

32. Set 1: Young: Age < 30 Set 2: Rich: Income >= 100,000 Set 3: Smart: GPA > 3.5 Young Rich Smart